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Finding the Fourth Proportional to 291,681.52, 402,520.50 and 157,545.52

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Solution

The fourth proportional to 291,681.52, 402,520.50 and 157,545.52 is: 217,412.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,681.52 : 402,520.50 = 157,545.52 : x
  2. Step 2: Convert to fraction form
    291,681.52/402,520.50 = 157,545.52/x
  3. Step 3: Cross multiply
    291,681.52x = 402,520.50 × 157,545.52
  4. Step 4: Simplify right side
    291,681.52x = 63,415,301,483.16
  5. Step 5: Solve for x
    x = 63,415,301,483.16/291,681.52
  6. Step 6: Final answer
    x = 217,412.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.